Answer :

Sure! Let's solve the multiplication of the two fractions step by step:

We need to multiply:

[tex]\[
\frac{3}{2} \times \frac{14}{15}
\][/tex]

1. Multiply the numerators:
- The numerators are 3 and 14.
- Multiply them together:
[tex]\[
3 \times 14 = 42
\][/tex]

2. Multiply the denominators:
- The denominators are 2 and 15.
- Multiply them together:
[tex]\[
2 \times 15 = 30
\][/tex]

So, after multiplying, we get the fraction:
[tex]\[
\frac{42}{30}
\][/tex]

3. Simplify the fraction:
- Both 42 and 30 have a common divisor, which is 6.
- Divide both the numerator and the denominator by 6:
[tex]\[
\frac{42 \div 6}{30 \div 6} = \frac{7}{5}
\][/tex]

So, the simplified result of multiplying the fractions [tex]\(\frac{3}{2}\)[/tex] and [tex]\(\frac{14}{15}\)[/tex] is:
[tex]\[
\frac{7}{5}
\][/tex]

That’s the simplified answer!

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